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Finding the Fourth Proportional to 10,708.36, 14,782.18 and 8,056.44

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Solution

The fourth proportional to 10,708.36, 14,782.18 and 8,056.44 is: 11,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.36 : 14,782.18 = 8,056.44 : x
  2. Step 2: Convert to fraction form
    10,708.36/14,782.18 = 8,056.44/x
  3. Step 3: Cross multiply
    10,708.36x = 14,782.18 × 8,056.44
  4. Step 4: Simplify right side
    10,708.36x = 119,091,746.24
  5. Step 5: Solve for x
    x = 119,091,746.24/10,708.36
  6. Step 6: Final answer
    x = 11,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.